is x+2 is a factor of 2x+4
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Answer:
Let's factor by completing the square. Our quadratic is in the form
a
x
2
+
b
x
+
c
. We complete the square by taking half of our
b
value, squaring it, and adding it to both sides of the equation.
We know that
b
=
−
2
, Half of that is
−
1
, and squaring that gives us
1
. Let's add that to both sides. We also have to subtract
4
from both sides so we can be able to factor. We get:
x
2
−
2
x
+
1
=
−
4
+
1
Simplifying, we get:
x
2
−
2
x
+
1
=
−
3
The left side can be factored as
(
x
−
1
)
2
. If we add
−
1
and
−
1
, we get
−
2
. When we multiply them, we get positive
1
.
(
x
−
1
)
2
=
−
3
Finally, we can add
3
to both sides, and we get:
(
x
−
1
)
2
+
3
=
0
Step-by-step explanation:
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